Linear and Angular Speed Trig

Categorize something that is measured in radians per second

• Linear Distance

• Angular Distance

• Linear Speed

• Angular Speed

What is the angular speed in radians per hour?

• 90π rad / 1 hr

• 2700π rad / 1 hr

• 5400π rad / 1 hr

• 97200π rad / 1 hr

A ceiling fan has 18 inch blades and turns at a rate of 5400π radians per hour. What is the linear speed in feet per hour?

• 90π ft / 1 hr

• 4010π ft / 1 hr

• 5400π ft / 1 hr

• 8100π ft / 1 hr

A car tire has a diameter of 14 inches and is spinning at a of 10 revolutions per second. What is the linear speed in inches per second?

• 280π in / s

• 140π in / s

• 280 rad / s

• 300 in / s

A ceiling fan with 16 inch blades rotates at 45 revolutions per minute. Find the angular speed of the fan in rad/min. Round to the nearest tenth.

• 90 rad/min

• 282.7 rad/min

• 45 rad/min

• 141.4

A car tire has a diameter of 14 inches and is spinning at a rate of 10 revolutions per second. What is the angular speed in radians per hour?

• 120π rad / 1 hr

• 1,008,000π rad / 1 hr

• 504,000π rad / 1 hr

• 72000π rad / 1 hr

A spin balancer rotates the wheel of a car at 500 revolutions per minute.  What is the angular speed in degrees per second?

• 16.67 deg / sec

• 6,000 deg / 1 sec

• 3,000 deg / 1 sec

• 180,000 deg / 1 sec

Determine the angular velocity in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.

• 360π rad/min

• 12π rad/min

• 360 rad/min

• 720π rad/min

Categorize something that is measured in mph

• Linear Distance

• Angular Distance

• Linear Speed

• Angular Speed

• arc length

• angular speed

• linear speed

• area of a circle sector